The Pricing Formula
All three inputs are always knowable. There are no hidden parameters, oracle feeds, or discretionary adjustments.
Price at a Glance
The table below shows how price responds to different supply levels and values ofk.
Notice that
k acts as a direct multiplier: doubling k doubles the price at any given supply level.
Why a Square Root?
A linear curve —P = k × S — would make early tokens almost free and later tokens extremely expensive, concentrating value sharply at the start. A square root curve compresses that range in a predictable way:
- Doubling supply increases price by roughly 41%, not 100%.
- Tripling supply increases price by roughly 73%, not 200%.
S = 40,000 pays only twice the price of someone who joined when S = 10,000 — not four times.
The Supply Floor: Smin = 1,000
WhenS = 0, the formula produces P = $0, which would make the first tokens free and create a mathematical singularity. To prevent this, Vibe Token enforces a minimum circulating supply:
S is treated as at least 1,000 for pricing purposes. At k = 0.005, this floor produces a minimum price of:
How Price Moves Over Time
Price changes in two directions:- Minting (earnings and grants) increases circulating supply →
Srises →Prises. - Burning (exits) decreases circulating supply →
Sfalls →Pfalls.
Early Contributor Advantage
Because price is lower when supply is low, early contributors earn more tokens per dollar of contribution than later contributors do. A referral that earns$100 of attributed revenue when P = $0.50 yields twice as many tokens as the same referral made when P = $1.00.
This is intentional. Early contributors take the most risk and uncertainty. The bonding curve rewards that timing automatically, without requiring the founder to manually set different token prices for different cohorts.
Choosing the Right k
The pricing constantk is calculated from your business’s monthly recurring revenue (MRR) at the time of launch:
k that puts tokens in a price range meaningful to that business.
k anchors token value to business scale. A higher k doesn’t make your tokens more valuable in isolation — it means the token price is calibrated to a business where each token represents a proportionally larger claim on revenue.